Finding the Third Proportional to 100,375 and 222,892

Step by Step Solution

1. Step 1: Write the proportion equation
   100,375 : 222,892 = 222,892 : x
2. Step 2: Convert to fraction form
   100,375/222,892 = 222,892/x
3. Step 3: Cross multiply
   100,375x = 222,892 × 222,892
4. Step 4: Simplify right side
   100,375x = 49,680,843,664
5. Step 5: Solve for x
   x = 49,680,843,664/100,375
6. Step 6: Final answer
   x = 494,952.37